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Standard XII

Mathematics

Perpendicular Distance of a Point from a Plane

Let Px1,y1b...

Question

Let $P (x_{1}, y_{1}) b e$ any point on the cartesian plane then match the following lists:

LIST - I LIST - II
$A)$ The distance from $P$ to X-axis 1) $0$
$B)$ The distance from $P$ to Y-axis 2) $| y_{1} |$
$C)$ The distance from $P$ to origin is 3) $\sqrt{x_{1}^{2} + y_{1}^{2}}$
4) $| x_{1} |$

A - 4, B - 2, C - 1

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A - 2, B - 4, C - 3

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A - 4, B - 2, C - 3

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A - 2, B - 4, C - 1

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Solution

The correct option is C $A - 2, B - 4, C - 3$
$(A) = | y_{1} | \to 2$

$(B) = | x_{1} | \to 4$

$(C) = \sqrt{x_{1}^{2} + y_{1}^{2}} \to 3$

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Similar questions

Q. A and B be two independent events of a sample space such that

P (A) = 0.2, P (B) = 0.5

LIST-I LIST-II
A)

P (B / A)

. 0.2

P (A / B)

. 0.1

P (A \cap B)

. 0.3

P (A \cup B)

. 0.6

. 0.5

The correct match for List-I from List-II
A B C D

Q. Consider the four processes

A, B, C, D

shown in the graph given below

List I shows process & List II gives value of index

^{'} n^{'}

for the equation

P V^{n} = const

Match List I with list II.

\begin{matrix} List I & List II A . & A & 1. & 0 B & B & 2 & 1 C & C & 3. & 1.4 D & D & 4. & \infty \end{matrix}

$\begin{matrix} L i s t - I & L i s t - I I P (t) = (\frac{1}{t^{2} + 1}, \frac{t}{t^{2} + 1}) . I f P (α), B (β) . C (γ) P . & a r e v e r t i c e s o f a n e q u i l a t e r a l t r i a n g l e & 1. & 0 (α, β, γ > 0) a n d i t s c e n t r o i d i s (a, b) t h e n 2 a + b = I F a c o m p l e x n u m b e r! z s a t i s f y i n g | z - 2 + i | \leq 1, Q . & t h e n t h e m a x i m u m d i s t a n c e o f o r i g i n f r o m 4 + i (2 - z) i s & 2. & 1^{2} C o n s i d e r t h e c u r v e x y = 25! s u c h t h a t (α, β) i s a p o i n t o n t h e c u r v e . R . & T h e n t h e n u m b e r o f d i s t i n c t o r d e r e d p a i r s (α, β) & 3. & 2^{2} s u c h t h a t H C F (α, β) = 1 i s 2^{k} t h e n k = S . & I f 2^{(1 + c o s π x)} l o g_{2}^{5} + 2^{x^{2} - 1} + 2^{2 (1 - | x |)} = 3, t h e n s u m o f t h e r o o t s i s & 4. & 3^{2} \end{matrix}$

Q. Match the following. The codes for the lists have choices

(A), (B), (C) a n d (D)

out of which only ONE is correct.
Codes :

P Q R S
(A)

4321

(B)

2143

(C)

4312

(D)

2431

Match List I with List II and select the correct answer using the codes given below the lists

List I (Compound) List II (Oxidation state of N)

(A) $N O_{2}$ (1) +5

(B) $H N O$ (2) -3

(D) $N_{2} O_{5}$ (4) +1

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LIST - I	LIST - II
$A)$ The distance from $P$ to X-axis	1) $0$
$B)$ The distance from $P$ to Y-axis	2) $\| y_{1} \|$
$C)$ The distance from $P$ to origin is	3) $\sqrt{x_{1}^{2} + y_{1}^{2}}$
	4) $\| x_{1} \|$

Let P(x1,y1)be any point on the cartesian plane then match the following lists: LIST - I LIST - II A) The distance from P to X-axis1) 0 B) The distance from P to Y-axis2) |y1| C) The distance from P to origin is 3) √x21+y21 4)|x1|

The correct option is C A−2,B−4,C−3(A)= |y1|→2(B)=|x1|→4(C)=√x21+y21→3

Let $P (x_{1}, y_{1}) b e$ any point on the cartesian plane then match the following lists:

LIST - I LIST - II
$A)$ The distance from $P$ to X-axis 1) $0$
$B)$ The distance from $P$ to Y-axis 2) $| y_{1} |$
$C)$ The distance from $P$ to origin is 3) $\sqrt{x_{1}^{2} + y_{1}^{2}}$
4) $| x_{1} |$

The correct option is C $A - 2, B - 4, C - 3$
$(A) = | y_{1} | \to 2$

$(B) = | x_{1} | \to 4$

$(C) = \sqrt{x_{1}^{2} + y_{1}^{2}} \to 3$